MathPlus School offers programs for children of Preschool age to 10th Grade. Our curriculum is a great compliment to the traditional programs offered in schools and provides children with advanced math skills.

About Our Math Programs

Our math program offers classes from Preschool through 10th Level. The higher Level courses cover both algebra and geometry, introduce new topics and offer students challenging problems. Our curriculum integrates advanced subjects into the standard school program, and includes SAT1 and SAT2 preparation. We aspire to make your child fall in love with math, while helping them succeed in school and on standardized tests.

Preschool program

The many dimensions of math

Even for young children, math is more than just a numbers game. Math has many dimensions, including:

Number sense (e.g., the numeral “4” represents four objects, which is greater than 3 and less than 5)

Geometry (e.g., patterns and shapes, each with unique features)

Measurement (e.g., size, distance, amount)

The language of math (e.g., more than, less than, equal to)

Spatial relations (e.g., in front of or behind; near or far) Numbers

During the fourth year, many children can accurately count up to five items, some can count up to 10, and a few can count to 20

Many four-year-olds can tell what number comes after a given number in a sequence up to 10. For example, if asked “What comes after 1-2-3-4-5-6?” many four-year-olds can answer “7,” and so forth

Given two numbers between one and 10, many five-year-olds can tell which of the two is larger

K – Level

Counting and cardinality

Count to 100 by ones; skip count to 100 by tens

Connect counting to cardinality

Count objects to answer “how many”

Compare two numbers between 1 and 10 in regards to

More than/less than/equal to

Operation and algebraic thinking

Define addition and subtraction

Fluently add and subtract within 5 units

Solve addition and subtraction stories 0-10 using objects or drawings

Split numbers up to 10 in pairs in more than one way

Determine the number that makes 10 when added to a given number

Number and operations in base ten

Understand the place values of numbers from 11-19

Compose and split from 11-19 as a bundle of 10 ones and additional ones

Measurement and data.

Describe measurable attributes of objects

Compare the difference between two objects

Classify, count, and sort up to 10 objects

Geometry.

Name and compare shapes; describe similarities, differences, parts and attributes

Identify shapes as 2D or 3D, as well as the relative positions of objects

Model and draw shapes; compose simple shapes to make larger shapes

1 – Level

Word problems

Addition and subtraction up to 20

Introduction to multiplication

Parts of a whole

Time

Logic problems

Geometry – 3D shapes

Logic games

Patterns

2 – Level

Addition and subtraction of two-digit and three-digit numbers

Word problems – Math modeling

Multiplication and division

Order of operations

Algorithms

Geometry – Lines, Angles, 3D Shapes

Logic problems

Equations x-a = b / x+a = b / a –x = b / ax = b

Combinatorial problems

Mathematics is the language in which the God speak to people.

Plato, c. 427 BC – c. 347 BC

Mathematician and Philosopher

3 – Level

Sets – Union intersection and Venn diagrams

Order of operations

Division with remainder

Equations

Logic

Proper and improper fractions

Unit rate problems

Math modeling – problem solving

Lines, segments, rays, parallel and perpendicular lines

Triangles, sum of angles in triangle

Perimeter and area of the planar shapes

Parallelogram, trapezoid and rhombus

4 – Level

Order of operations

Prime numbers

Negative numbers

Fractions

Divisibility tests

Symmetries

Angles

Various special quadrilaterals

Math modeling

Equations

5 – Level

Prime factorization

LCM and GCD

Algebraic laws

Negative numbers

Equations with negative numbers

Decimal fractions

Word problems – math modeling

Math statements: Exists, For All, If and Only If

Powers and Exponent

Powers of 2 and binary numbers

Dirichlet’s Box Principle (Pigeonhole Principle)

Part of a number

Divisibility tests

Parallel lines

Congruence test for triangles

Pythagorean theorem

Probability

6 – Level

Logic

Set theory

Powers and exponent

Square roots

Rational and irrational numbers

Arithmetic and geometric progression

Construction with ruler and compass

Coordinate plane and graphs of functions

Equations

Math, modeling – word problems

“Surely it is not knowledge, but learning; not owning but earning; not being there, but getting there; that gives us the greatest pleasure.”

Carl Friedrich Gauss, 1777 – 1855

Mathematician and Physicist

7 – Level

Combinatorics

Vectors

Basic trigonometry

Transformations: Reflection, rotation and composition

Quadratic Equations. Vieta Theorem. Parabola

Inequalities

Fibonacci numbers

8 – Level

Combinatorics. Binomial formula

Divisibility. Euclid’s algorithm

Euclidean Geometry

9 – Level

Elements of math logic and Set Theory. Bijection and injection. Infinite sets and cardinality

Functions and graphs. Even, odd, periodic, monotonic functions

Exponential function. Logarithms. Equations and inequalities with exponents and logarithms

Polynomials; division of polynomials.Vieta formulas

Complex numbers

Mathematical induction

10 – Level

Sets and functions. Bijections

Infinite sets and cardinality

Equivalence relations

Solving equivalences

Euler function

A free first trial lesson is offered for all subjects. If you wish to sign up for any of our programs, a non-refundable payment for the month is due on the first lesson of the month. We accept personal checks or cash only.

Math Tuition Fees:

$35 – 60 / 90

60 or 90 minute math lessons are available. The duration of the class varies by level.

Schedule Evaluation

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